1171485032448 has 102 divisors (see below), whose sum is σ = 3125216554132. Its totient is φ = 390335037440.

The previous prime is 1171485032423. The next prime is 1171485032507. The reversal of 1171485032448 is 8442305841711.

It is a super-2 number, since 2×1171485032448² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1171485032397 and 1171485032406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 479918908 + ... + 479921348.

Almost surely, 2^{1171485032448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1171485032448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562608277066).

1171485032448 is an abundant number, since it is smaller than the sum of its proper divisors (1953731521684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1171485032448 is an frugal number, since it uses more digits than its factorization.

1171485032448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

Multiplying 1171485032448 by its sum of digits (48), we get a square (56231281557504 = 7498752²).

1171485032448 divided by its sum of digits (48) gives a square (24405938176 = 156224²).

The spelling of 1171485032448 in words is "one trillion, one hundred seventy-one billion, four hundred eighty-five million, thirty-two thousand, four hundred forty-eight".